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Volume of revolution of sqrt(x)

MediumCalculus~5m

The curve y=xy=\sqrt x on [0,1][0,1] is revolved about the xx-axis. Find the volume of the solid. (to 3 decimals)

Show hints (2)+
  1. Use the disk method: V=π∫(radius)2 dxV=\pi\int (\text{radius})^2\,dx.
  2. Here radius =x=\sqrt x, so integrate xx.

Answer

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1.571 (± 0.005)

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